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33382372073 is a prime number
BaseRepresentation
bin11111000101101111…
…101001001011101001
310012011110211012120212
4133011233221023221
51021331341401243
623200300030505
72261150323631
oct370557511351
9105143735525
1033382372073
111318052a256
126577832435
1331c00583ab
1418897476c1
15d05a4d318
hex7c5be92e9

33382372073 has 2 divisors, whose sum is σ = 33382372074. Its totient is φ = 33382372072.

The previous prime is 33382372043. The next prime is 33382372129. The reversal of 33382372073 is 37027328333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26855671129 + 6526700944 = 163877^2 + 80788^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33382372073 is a prime.

It is a super-2 number, since 2×333823720732 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33382372073.

It is not a weakly prime, because it can be changed into another prime (33382372003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16691186036 + 16691186037.

It is an arithmetic number, because the mean of its divisors is an integer number (16691186037).

Almost surely, 233382372073 is an apocalyptic number.

It is an amenable number.

33382372073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33382372073 is an equidigital number, since it uses as much as digits as its factorization.

33382372073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 33382372073 in words is "thirty-three billion, three hundred eighty-two million, three hundred seventy-two thousand, seventy-three".